3c+4+28=3(c+6)+c

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Solution for 3c+4+28=3(c+6)+c equation:


Simplifying
3c + 4 + 28 = 3(c + 6) + c

Reorder the terms:
4 + 28 + 3c = 3(c + 6) + c

Combine like terms: 4 + 28 = 32
32 + 3c = 3(c + 6) + c

Reorder the terms:
32 + 3c = 3(6 + c) + c
32 + 3c = (6 * 3 + c * 3) + c
32 + 3c = (18 + 3c) + c

Combine like terms: 3c + c = 4c
32 + 3c = 18 + 4c

Solving
32 + 3c = 18 + 4c

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '-4c' to each side of the equation.
32 + 3c + -4c = 18 + 4c + -4c

Combine like terms: 3c + -4c = -1c
32 + -1c = 18 + 4c + -4c

Combine like terms: 4c + -4c = 0
32 + -1c = 18 + 0
32 + -1c = 18

Add '-32' to each side of the equation.
32 + -32 + -1c = 18 + -32

Combine like terms: 32 + -32 = 0
0 + -1c = 18 + -32
-1c = 18 + -32

Combine like terms: 18 + -32 = -14
-1c = -14

Divide each side by '-1'.
c = 14

Simplifying
c = 14

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